AS.110.202 Midterm: Midterm 2 No Solutions Fall 2017
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Instructions: this exam has ve questions and is out of a total of 100 points. No graphing calculators, books, or notes are allowed. Be sure to show all work for all problems. No credit will be given for answers without work shown. If you do not have enough room in the space provided you may use additional paper. Be sure to clearly label each problem and attach them to the exam. I certify that i have taken this exam without the aid of unauthorized people or objects. Find and classify the critical points of f (x, y) = x2 + x2y2 + y4. Answer all of the following three subquestions. (a) find the arc length of p(t) = (t, t. 2 ) for t [0, 1]. (b) compute the curl of f (x, y, z) = (yz, xz, xy). (c) show p(t) = ( 1.